Radius of Cylinder for Non-Lifting Flow Calculator

✖Doublet strength is defined as the product of distance between a source-sink pair and source or sink strength.ⓘ Doublet Strength [κ]			+10% -10%
✖The Freestream Velocity signifies the speed or velocity of a fluid flow far from any disturbances or obstacles.ⓘ Freestream Velocity [V_∞]			+10% -10%

✖The Cylinder Radius is the radius of its circular cross section.ⓘ Radius of Cylinder for Non-Lifting Flow [R]

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Radius of Cylinder for Non-Lifting Flow Solution

STEP 0: Pre-Calculation Summary

Formula Used

Cylinder Radius = sqrt(Doublet Strength/(2*pi*Freestream Velocity))
R = sqrt(κ/(2*pi*V_∞))
This formula uses 1 Constants, 1 Functions, 3 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Functions Used

sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)

Variables Used

Cylinder Radius - (Measured in Meter) - The Cylinder Radius is the radius of its circular cross section.
Doublet Strength - (Measured in Cubic Meter per Second) - Doublet strength is defined as the product of distance between a source-sink pair and source or sink strength.
Freestream Velocity - (Measured in Meter per Second) - The Freestream Velocity signifies the speed or velocity of a fluid flow far from any disturbances or obstacles.

STEP 1: Convert Input(s) to Base Unit

Doublet Strength: 0.22 Cubic Meter per Second --> 0.22 Cubic Meter per Second No Conversion Required
Freestream Velocity: 6.9 Meter per Second --> 6.9 Meter per Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

R = sqrt(κ/(2*pi*V_∞)) --> sqrt(0.22/(2*pi*6.9))

Evaluating ... ...

R = 0.0712355629718437

STEP 3: Convert Result to Output's Unit

0.0712355629718437 Meter --> No Conversion Required

FINAL ANSWER

0.0712355629718437 ≈ 0.071236 Meter <-- Cylinder Radius

(Calculation completed in 00.004 seconds)

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Created by Shikha Maurya

Indian Institute of Technology (IIT), Bombay

Shikha Maurya has created this Calculator and 100+ more calculators!

Verified by Vinay Mishra

Indian Institute for Aeronautical Engineering and Information Technology (IIAEIT), Pune

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< Nonlifting Flow over Cylinder Calculators

Stream Function for Non-Lifting Flow over Circular Cylinder

LaTeX Go Stream Function = Freestream Velocity*Radial Coordinate*sin(Polar Angle)*(1-(Cylinder Radius/Radial Coordinate)^2)

Tangential Velocity for Non-Lifting Flow over Circular Cylinder

LaTeX Go Tangential Velocity = -(1+((Cylinder Radius)/(Radial Coordinate))^2)*Freestream Velocity*sin(Polar Angle)

Radial Velocity for Non-Lifting Flow over Circular Cylinder

LaTeX Go Radial Velocity = (1-(Cylinder Radius/Radial Coordinate)^2)*Freestream Velocity*cos(Polar Angle)

Radius of Cylinder for Non-Lifting Flow

LaTeX Go Cylinder Radius = sqrt(Doublet Strength/(2*pi*Freestream Velocity))

Radius of Cylinder for Non-Lifting Flow Formula

LaTeX Go

Cylinder Radius = sqrt(Doublet Strength/(2*pi*Freestream Velocity))
R = sqrt(κ/(2*pi*V_∞))

How to obtain location of stagnation points?

The location of stagnation points are obtained by equating the radial and tangential component of velocity to zero and solving it for the radial distance and polar angle.

How to Calculate Radius of Cylinder for Non-Lifting Flow?

Radius of Cylinder for Non-Lifting Flow calculator uses Cylinder Radius = sqrt(Doublet Strength/(2*pi*Freestream Velocity)) to calculate the Cylinder Radius, Radius of Cylinder for Non-Lifting Flow formula is defined as a measure that characterizes the size of a cylinder in a fluid flow scenario where lift forces are negligible, helping to analyze flow patterns and behavior around the cylinder. Cylinder Radius is denoted by R symbol.

How to calculate Radius of Cylinder for Non-Lifting Flow using this online calculator? To use this online calculator for Radius of Cylinder for Non-Lifting Flow, enter Doublet Strength (κ) & Freestream Velocity (V_∞) and hit the calculate button. Here is how the Radius of Cylinder for Non-Lifting Flow calculation can be explained with given input values -> 0.503711 = sqrt(0.22/(2*pi*6.9)).

FAQ

What is Radius of Cylinder for Non-Lifting Flow?

Radius of Cylinder for Non-Lifting Flow formula is defined as a measure that characterizes the size of a cylinder in a fluid flow scenario where lift forces are negligible, helping to analyze flow patterns and behavior around the cylinder and is represented as R = sqrt(κ/(2*pi*V_∞)) or Cylinder Radius = sqrt(Doublet Strength/(2*pi*Freestream Velocity)). Doublet strength is defined as the product of distance between a source-sink pair and source or sink strength & The Freestream Velocity signifies the speed or velocity of a fluid flow far from any disturbances or obstacles.

How to calculate Radius of Cylinder for Non-Lifting Flow?

Radius of Cylinder for Non-Lifting Flow formula is defined as a measure that characterizes the size of a cylinder in a fluid flow scenario where lift forces are negligible, helping to analyze flow patterns and behavior around the cylinder is calculated using Cylinder Radius = sqrt(Doublet Strength/(2*pi*Freestream Velocity)). To calculate Radius of Cylinder for Non-Lifting Flow, you need Doublet Strength (κ) & Freestream Velocity (V_∞). With our tool, you need to enter the respective value for Doublet Strength & Freestream Velocity and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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